Let's use dictionaries (you don't have to of course) to look at resistors, which are common electric components found in virtually every electronic circuit. Resistors come with a resistance rating $\;\Omega$ (measured in Ohms) that describes how difficult it is to pass an electric current through the resistor. This resistance rating is indicated by four or five colored bands on the resistor itself (see table). A resistor may have only one band, in which case it is a single blank band and the resistor has zero resistance.

For a four band resistor, the first two color bands indicate the first two digits of the resistance value with the third band indicating a multiplier, and the last band indicates a tolerance. For a five band resistor, the first three color bands indicate the first three digits of the resistance value followed by a fourth band (multiplier) and a fifth band (tolerance). Keep in mind that the tolerance is a relative tolerance, like ±5%, which can be written as ±0.05 without the % sign.

Using a list of colors as input compute the nominal resistance (i.e. as told by the colored bands, whithout any tolerance), as well as the minimum and maximum resistance value of the resistor, and return them in that order.

Input: A list of colors (could be of length 1, 4, or 5).

Output: The nominal, minimum, and maximum resistance of the resistor (in that order).

Write a function that accepts the input as function parameters and returns the correct output. Make sure to read the description above to produce the correct output in the correct format and use the correct function signature so we can run your code. A good first step is to try reproducing the example(s). Your code must not take longer than the maximum runtime to run and must not use more memory than the allowed limit.